Issolvi 2/1/3+4/1/5-5/1/6/frac{1/6{1/7}+frac{1/4}{1/8}-frac{1/8}{1/9}}=

$$\frac { \frac { 2 } { 1 / 3 } + \frac { 4 } { 1 / 5 } - \frac { 5 } { 1 / 6 } } { \frac { 1 / 6 } { 1 / 7 } + \frac { 1 / 4 } { 1 / 8 } - \frac { 1 / 8 } { 1 / 9 } } =$$

Evalwa

$$-\frac{96}{49}\approx -1.959183673$$

Passi tas-Soluzzjonijiet

Iddividi 2 b'\frac{1}{3} billi timmultiplika 2 bir-reċiproku ta' \frac{1}{3}.

$$\frac{2\times 3+\frac{4}{\frac{1}{5}}-\frac{5}{\frac{1}{6}}}{\frac{\frac{1}{6}}{\frac{1}{7}}+\frac{\frac{1}{4}}{\frac{1}{8}}-\frac{\frac{1}{8}}{\frac{1}{9}}}$$

Immultiplika 2 u 3 biex tikseb 6.

$$\frac{6+\frac{4}{\frac{1}{5}}-\frac{5}{\frac{1}{6}}}{\frac{\frac{1}{6}}{\frac{1}{7}}+\frac{\frac{1}{4}}{\frac{1}{8}}-\frac{\frac{1}{8}}{\frac{1}{9}}}$$

Iddividi 4 b'\frac{1}{5} billi timmultiplika 4 bir-reċiproku ta' \frac{1}{5}.

$$\frac{6+4\times 5-\frac{5}{\frac{1}{6}}}{\frac{\frac{1}{6}}{\frac{1}{7}}+\frac{\frac{1}{4}}{\frac{1}{8}}-\frac{\frac{1}{8}}{\frac{1}{9}}}$$

Immultiplika 4 u 5 biex tikseb 20.

$$\frac{6+20-\frac{5}{\frac{1}{6}}}{\frac{\frac{1}{6}}{\frac{1}{7}}+\frac{\frac{1}{4}}{\frac{1}{8}}-\frac{\frac{1}{8}}{\frac{1}{9}}}$$

Żid 6 u 20 biex tikseb 26.

$$\frac{26-\frac{5}{\frac{1}{6}}}{\frac{\frac{1}{6}}{\frac{1}{7}}+\frac{\frac{1}{4}}{\frac{1}{8}}-\frac{\frac{1}{8}}{\frac{1}{9}}}$$

Iddividi 5 b'\frac{1}{6} billi timmultiplika 5 bir-reċiproku ta' \frac{1}{6}.

$$\frac{26-5\times 6}{\frac{\frac{1}{6}}{\frac{1}{7}}+\frac{\frac{1}{4}}{\frac{1}{8}}-\frac{\frac{1}{8}}{\frac{1}{9}}}$$

Immultiplika 5 u 6 biex tikseb 30.

$$\frac{26-30}{\frac{\frac{1}{6}}{\frac{1}{7}}+\frac{\frac{1}{4}}{\frac{1}{8}}-\frac{\frac{1}{8}}{\frac{1}{9}}}$$

Naqqas 30 minn 26 biex tikseb -4.

$$\frac{-4}{\frac{\frac{1}{6}}{\frac{1}{7}}+\frac{\frac{1}{4}}{\frac{1}{8}}-\frac{\frac{1}{8}}{\frac{1}{9}}}$$

Iddividi \frac{1}{6} b'\frac{1}{7} billi timmultiplika \frac{1}{6} bir-reċiproku ta' \frac{1}{7}.

$$\frac{-4}{\frac{1}{6}\times 7+\frac{\frac{1}{4}}{\frac{1}{8}}-\frac{\frac{1}{8}}{\frac{1}{9}}}$$

Immultiplika \frac{1}{6} u 7 biex tikseb \frac{7}{6}.

$$\frac{-4}{\frac{7}{6}+\frac{\frac{1}{4}}{\frac{1}{8}}-\frac{\frac{1}{8}}{\frac{1}{9}}}$$

Iddividi \frac{1}{4} b'\frac{1}{8} billi timmultiplika \frac{1}{4} bir-reċiproku ta' \frac{1}{8}.

$$\frac{-4}{\frac{7}{6}+\frac{1}{4}\times 8-\frac{\frac{1}{8}}{\frac{1}{9}}}$$

Immultiplika \frac{1}{4} u 8 biex tikseb \frac{8}{4}.

$$\frac{-4}{\frac{7}{6}+\frac{8}{4}-\frac{\frac{1}{8}}{\frac{1}{9}}}$$

Iddividi 8 b'4 biex tikseb2.

$$\frac{-4}{\frac{7}{6}+2-\frac{\frac{1}{8}}{\frac{1}{9}}}$$

Ikkonverti 2 fi frazzjoni \frac{12}{6}.

$$\frac{-4}{\frac{7}{6}+\frac{12}{6}-\frac{\frac{1}{8}}{\frac{1}{9}}}$$

Billi \frac{7}{6} u \frac{12}{6} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{-4}{\frac{7+12}{6}-\frac{\frac{1}{8}}{\frac{1}{9}}}$$

Żid 7 u 12 biex tikseb 19.

$$\frac{-4}{\frac{19}{6}-\frac{\frac{1}{8}}{\frac{1}{9}}}$$

Iddividi \frac{1}{8} b'\frac{1}{9} billi timmultiplika \frac{1}{8} bir-reċiproku ta' \frac{1}{9}.

$$\frac{-4}{\frac{19}{6}-\frac{1}{8}\times 9}$$

Immultiplika \frac{1}{8} u 9 biex tikseb \frac{9}{8}.

$$\frac{-4}{\frac{19}{6}-\frac{9}{8}}$$

L-inqas multipli komuni ta' 6 u 8 huwa 24. Ikkonverti \frac{19}{6} u \frac{9}{8} fi frazzjonijiet bid-denominatur 24.

$$\frac{-4}{\frac{76}{24}-\frac{27}{24}}$$

Billi \frac{76}{24} u \frac{27}{24} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{-4}{\frac{76-27}{24}}$$

Naqqas 27 minn 76 biex tikseb 49.

$$\frac{-4}{\frac{49}{24}}$$

Iddividi -4 b'\frac{49}{24} billi timmultiplika -4 bir-reċiproku ta' \frac{49}{24}.

$$-4\times \frac{24}{49}$$

Esprimi -4\times \frac{24}{49} bħala frazzjoni waħda.

$$\frac{-4\times 24}{49}$$

Immultiplika -4 u 24 biex tikseb -96.

$$\frac{-96}{49}$$

Frazzjoni \frac{-96}{49} tista' tinkiteb mill-ġdid bħala -\frac{96}{49} bl-estrazzjoni tas-sinjal negattiv.

$$-\frac{96}{49}$$

Fattur

$$-\frac{96}{49} = -1\frac{47}{49} = -1.9591836734693877$$